Distribution dependent SDEs with singular coefficients
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Publication:2010498
DOI10.1016/j.spa.2018.12.012zbMath1433.60034arXiv1805.01682OpenAlexW2963226686WikidataQ128671003 ScholiaQ128671003MaRDI QIDQ2010498
Publication date: 27 November 2019
Published in: Stochastic Processes and their Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1805.01682
Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Martingales with continuous parameter (60G44)
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Cites Work
- Stochastic homeomorphism flows of SDEs with singular drifts and Sobolev diffusion coefficients
- Harnack inequality for SDE with multiplicative noise and extension to Neumann semigroup on nonconvex manifolds
- Exponential convergence to equilibrium for the homogeneous Landau equation with hard potentials
- Gradient estimates and applications for SDEs in Hilbert space with multiplicative noise and Dini continuous drift
- Logarithmic Sobolev inequalities on noncompact Riemannian manifolds
- Harnack and functional inequalities for generalized Mehler semigroups.
- Distribution dependent SDEs for Landau type equations
- Integration by parts formula and shift Harnack inequality for stochastic equations
- Degenerate SDE with Hölder--Dini Drift and Non-Lipschitz Noise Coefficient
- On Stochastic Differential Equations with Locally Unbounded Drift
- Estimates and regularity results for the DiPerna-Lions flow
- Harnack Inequalities for Stochastic Partial Differential Equations
- On the spatially homogeneous landau equation for hard potentials part i : existence, uniqueness and smoothness
- On the spatially homogeneous landau equation for hard potentials part ii : h-theorem and applications
- A TRANSFORMATION OF THE PHASE SPACE OF A DIFFUSION PROCESS THAT REMOVES THE DRIFT
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